Lattices - Revision history

KevinYager: /* See Also */

2019-02-19T15:27:35Z

‎See Also

KevinYager: /* See Also */

2018-09-24T22:22:37Z

‎See Also

KevinYager: /* Cubic */

2016-11-13T22:52:30Z

‎Cubic

KevinYager at 15:37, 20 January 2015

2015-01-20T15:37:12Z

KevinYager: /* See Also */

2014-11-13T22:18:38Z

‎See Also

KevinYager: /* Peak Positions */

2014-11-12T19:46:47Z

‎Peak Positions

KevinYager: /* Symmetry and Space Groups */

2014-11-12T19:45:53Z

‎Symmetry and Space Groups

KevinYager: /* Lattices */

2014-10-15T19:45:49Z

‎Lattices

KevinYager: /* Lattices */

2014-10-15T18:49:52Z

‎Lattices

KevinYager: /* Lattices */

2014-10-15T18:43:57Z

‎Lattices

← Older revision		Revision as of 15:27, 19 February 2019
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	* [http://www.cryst.ehu.es/html/cryst/magnext.php?from=magnext&magtr=9 Space Group List]		* [http://www.cryst.ehu.es/html/cryst/magnext.php?from=magnext&magtr=9 Space Group List]
	* M. Nespolo, M. I. Aroyo and B. Souvignier [http://scripts.iucr.org/cgi-bin/paper_yard?in5013 Crystallographic shelves: space-group hierarchy explained] ''J. Appl. Cryst.'' '''2018''' [https://doi.org/10.1107/S1600576718012724 doi: 10.1107/S1600576718012724]		* M. Nespolo, M. I. Aroyo and B. Souvignier [http://scripts.iucr.org/cgi-bin/paper_yard?in5013 Crystallographic shelves: space-group hierarchy explained] ''J. Appl. Cryst.'' '''2018''' [https://doi.org/10.1107/S1600576718012724 doi: 10.1107/S1600576718012724]
		+	* M. Nespolo [http://scripts.iucr.org/cgi-bin/paper?to5189 Lattice versus structure, dimensionality versus periodicity: a crystallographic Babel?] ''J. Appl. Cryst.'' '''2019''', 52. [https://doi.org/10.1107/S1600576719000463 doi: 10.1107/S1600576719000463]

← Older revision		Revision as of 22:22, 24 September 2018
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	* [[Lattices of nano-objects]]		* [[Lattices of nano-objects]]
	* [http://www.cryst.ehu.es/html/cryst/magnext.php?from=magnext&magtr=9 Space Group List]		* [http://www.cryst.ehu.es/html/cryst/magnext.php?from=magnext&magtr=9 Space Group List]
		+	* M. Nespolo, M. I. Aroyo and B. Souvignier [http://scripts.iucr.org/cgi-bin/paper_yard?in5013 Crystallographic shelves: space-group hierarchy explained] ''J. Appl. Cryst.'' '''2018''' [https://doi.org/10.1107/S1600576718012724 doi: 10.1107/S1600576718012724]

@@ Line 29: / Line 29: @@
 There are three [http://en.wikipedia.org/wiki/Cubic_crystal_system cubic] space groups:
 * [[Lattice:Simple_cubic|Simple cubic (SC)]]
-** [[Lattice:NaCL|Alternating simple cubic (NaCl)]]
+** [[Lattice:Simple_cubic#Alternating_Simple_Cubic|Alternating simple cubic (NaCl)]]
 * [[Lattice:BCC|Body-centered cubic (BCC)]]
 ** [[Lattice:BCC#Body-centered_Two-particle|CsCl]]

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 [[Image:Bcc03-lattice.png|thumb|right|300px|Example of a [[Lattice:BCC|BCC]] lattice.]]
-In x-ray scattering, we frequently study materials which have constituents arranged on a well-defined '''lattice'''. For instance, an atomic crystal has atoms which occupy well-defined sites within a representative [[unit cell]], which then repeats in all three directions throughout space. Nanoparticle superlattices are a nanoscale analogue, where each lattice site is occupied by a nanoparticle. Other kinds of nanostructures systems can be considered similarly. [[Block-copolymers|Block-copolymer]] mesophases can be thought of as nanostructures sitting on lattice sites (e.g. cylinders in a hexagonal lattice).
+In x-ray scattering, we frequently study materials which have constituents arranged on a well-defined '''lattice'''. For instance, an atomic crystal has atoms which occupy well-defined sites within a representative [[unit cell]], which then repeats in all three directions throughout space. Nanoparticle [[superlattices]] are a nanoscale analogue, where each lattice site is occupied by a nanoparticle. Other kinds of nanostructures systems can be considered similarly. [[Block-copolymers|Block-copolymer]] mesophases can be thought of as nanostructures sitting on lattice sites (e.g. cylinders in a hexagonal lattice).
 Well-defined [[realspace]] lattices (repeating structures) [[Fourier transform|give rise]] to well-defined peaks in [[reciprocal-space]], which makes it possible to determine the realspace lattice by considering the arrangement (symmetry) of the [[scattering]] peaks.
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 * [[Unit cell]]
 * [[Lattice:Packing fraction]]
 * [http://www.cryst.ehu.es/html/cryst/magnext.php?from=magnext&magtr=9 Space Group List]

← Older revision		Revision as of 22:18, 13 November 2014
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	* [[Unit cell]]		* [[Unit cell]]
	* [[Lattice:Packing fraction]]		* [[Lattice:Packing fraction]]
		+	* [http://www.cryst.ehu.es/html/cryst/magnext.php?from=magnext&magtr=9 Space Group List]

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 : <math>\frac{1}{d_{hkl}^2} = \frac{h^2 + k^2}{a^2} + \frac{l^2}{c^2} </math>
 : <math>q_{hkl} = 2\pi \left ( \frac{h^2 + k^2}{a^2} + \frac{l^2}{c^2} \right )^{1/2} </math>
 ==See Also==

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 ==Symmetry and Space Groups==
 * U. Shmueli, S. R. Hall and R. W. Grosse-Kunstleve, [http://www.springerlink.com/content/p64698026200453u/ Symmetry in reciprocal space] International Tables for Crystallography Volume B: Reciprocal space, 1, Springer 2001 pp 99-161 ISSN 1574-8707 ISBN 978-0-7923-6592-1 (Print) 978-1-4020-5407-5 (Online) [http://dx.doi.org/10.1107/97809553602060000552 doi 10.1107/97809553602060000552]
 ==See Also==

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 *** [[Lattice:Wurtzite|Wurtzite]]
 ** [[Lattice:AlB2|AlB<sub>2</sub>]]
 ==See Also==

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 There are many conceptually distinct lattices that exhibit one of the above cubic symmetries:
 * [[Lattice:Diamond|Diamond lattice]] (FCC)
 ===Hexagonal===